I think you are attributing a rationality to creationist thinking that is not actually present. Humans are different kinds from other animals because the Bible says they were created separately.
After that the Bible says very little about created kinds or kinds of animals loaded on the ark. But if in fact there were a mention in the Bible of separate creation of lions and cheetahs, then those similarities would be meaningless by fiat.
Now regarding inconsistency, what gets me is how they reject "macroevolutionary" changes as being an impossibility, but propose the idea that a "created kind" could rapidly adapt to become 1000's of modern species in just a few thousand years.
This inconsistency is the rule not the exception.
Under a government which imprisons any unjustly, the true place for a just man is also in prison. Thoreau: Civil Disobedience (1846)
I believe that a scientist looking at nonscientific problems is just as dumb as the next guy.
Richard P. Feynman
If there is no struggle, there is no progress. Those who profess to favor freedom, and deprecate agitation, are men who want crops without plowing up the ground, they want rain without thunder and lightning. Frederick Douglass